Examples of Paradox

Well... I'm having a test that has one of it's topic on Paradoxes.
To help me understand better, and for me to gain more marks whilst answering the essay, could you guys please give me some examples of a paradox?
The definition of a paradox is
Paradox - "A statement that seems contradictory or absurd but, is actually valid or true."
But i can't think up of any examples. Can you?

Love and hatred is a paradox. When somebody says that he loves us and then also says that he hates us, he only means that he is inthe paradox.
Actually, nothing is possible without its opposite. Without love, hatred is impossible. Without hatred, love is impossible.

Your definition is incorrect to start with.
"A statement that seems contradictory or absurd but, BUT WHICH MAY BE valid or true"
Is better.
In mathematics a paradox is a sign of error but in philosophy the sign of a beginning.
A barber puts up a sign in his village. "I shave only men and all men in this village that don't shave themselves."
Here comes the paradoxical bit; who shaves the barber.
We might address this more formally; consider a set of sets that are not members of themselves, is that set of sets a set that is not a member of itself or not a set that is a set that is not a member of itself.
Either possibility leads to contradiction, therefore naive set theory is wrong.
I'll leave you to ponder that for a while but come back if you need explination
all the best urban